The Math Challenge III course is for students who are qualified to participate in the AIME contest, or at the equivalent level of experience. The MC-III topics includes everything covered in MC-II with more depth, and the focus is more on various problem solving strategies, including pairing, change of variables, some advanced techniques in number theory and combinatorics, advanced probability theory and techniques, solid geometry, geometrical transformations, etc. Through the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in contests such as AIME, ZIML, and ARML.

The course is divided into four terms:

- Summer, covering Algebra
- Fall, covering Geometry
- Winter, covering Combinatorics
- Spring, covering Number Theory

The book contains course materials for Math Challenge III: Number Theory.

We recommend that students take all four terms. Each of the individual terms is self-contained and does not depend on other terms, so they do not need to be taken in order, and students can take single terms if they want to focus on specific topics.